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Energy spectra and photoluminescence of fractional quantum Hall systems containing a valence-band hole

Arkadiusz Wojs·Kyung-Soo Yi·John J. Quinn
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Abstract

The energy spectrum of a two-dimensional electron gas (2DEG) interacting with a valence-band hole is studied in the high magnetic field limit as a function of the filling factor nu and the separation d between the electron and hole layers. For d smaller than the magnetic length lambda, the hole binds one or more electrons to form neutral (X) or charged (X-) excitons. The low-lying states can be understood in terms of Laughlin-like correlations among the constituent charged fermions (electrons and X-). For d comparable to lambda, the electron-hole interaction is not strong enough to bind a full electron, and fractionally charged excitons hQEn (bound states of a hole and one or more Laughlin quasielectrons, QE) are formed. The effect of these excitonic complexes on the photoluminescence spectrum is studied numerically for a wide range of values of nu and d.

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Arkadiusz Wojs, Kyung-Soo Yi, John J. Quinn. 2000-11-13. Energy spectra and photoluminescence of fractional quantum Hall systems containing a valence-band hole. https://doi.org/10.1080/13642810110036761

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